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# The value of 1.209^(1/2)/0.0897^(1/2) is closest to which of the follo

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The value of 1.209^(1/2)/0.0897^(1/2) is closest to which of the follo [#permalink]
TestPrepUnlimited , could you please explain how $$\sqrt{\frac{1.2}{0.09}}$$ becomes $$\sqrt{\frac{40}{3}}$$? Thanks!
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Re: The value of 1.209^(1/2)/0.0897^(1/2) is closest to which of the follo [#permalink]
sjuniv32 wrote:
TestPrepUnlimited , could you please explain how $$\sqrt{\frac{1.2}{0.09}}$$ becomes $$\sqrt{\frac{40}{3}}$$? Thanks!

Cancel 3 from both numerator and denominator .
Then multiply both numerator and denominator by 100

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Re: The value of 1.209^(1/2)/0.0897^(1/2) is closest to which of the follo [#permalink]
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sjuniv32 wrote:
TestPrepUnlimited , could you please explain how $$\sqrt{\frac{1.2}{0.09}}$$ becomes $$\sqrt{\frac{40}{3}}$$? Thanks!

Hi sjuniv32

$$\sqrt{\frac{1.2}{0.09}} = \sqrt{\frac{12}{10}*\frac{100}{9}} = \sqrt{\frac{120}{9}} = \sqrt{\frac{40}{3}}$$

I hope its clear your query
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Re: The value of 1.209^(1/2)/0.0897^(1/2) is closest to which of the follo [#permalink]
sjuniv32 wrote:
TestPrepUnlimited , could you please explain how $$\sqrt{\frac{1.2}{0.09}}$$ becomes $$\sqrt{\frac{40}{3}}$$? Thanks!

All the responses above are great! When looking at numbers it is important to "see through" them and look at the significant digits. When we see $$\frac{1.2}{0.09}$$ we actually want to look at 12 and 9. So the first step is to have $$\frac{120}{9}$$ then simplify from there.
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Re: The value of 1.209^(1/2)/0.0897^(1/2) is closest to which of the follo [#permalink]
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Re: The value of 1.209^(1/2)/0.0897^(1/2) is closest to which of the follo [#permalink]
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